Problem
Share $120 between Alex and Beth in the ratio 3:5. How much does each person get?
📝Step-by-Step Solution
1
Find the total parts
Add the ratio numbers: 3 + 5 = 8 parts total
Total parts = 3 + 5 = 8
2
Find the value of one part
Divide the total amount by the total parts: $120 ÷ 8 = $15 per part
One part = $120 ÷ 8 = $15
3
Calculate Alex's share
Alex gets 3 parts: 3 × $15 = $45
Alex = 3 × $15 = $45
4
Calculate Beth's share
Beth gets 5 parts: 5 × $15 = $75
Beth = 5 × $15 = $75
5
Check
Verify: $45 + $75 = $120 ✓ and 45:75 = 3:5 (divide both by 15) ✓
✅Final Answer
Alex gets $45, Beth gets $75
To share in a ratio: (1) Add ratio parts to get total, (2) Divide amount by total parts to find one part's value, (3) Multiply each ratio number by the part value. This method works for any "share in ratio" problem!
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